I'd like to plot a graph of a function using e.g. Plot3D and then a line (in general a curve, in my case a straight line, tangent at some point to the surface just drawn), using e.g. ParametricPlot3D in the same picture. Is it possible? If yes, how?


Try using Show[] for this. Eg:

 ParametricPlot3D[{Cos[u], Sin[u] + Cos[v], Sin[v]}, {u, 0, 
   2 \[Pi]}, {v, -\[Pi], \[Pi]}]
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